Discrete soliton solutions for a generalized discrete nonlinear Schrodinger equation with variable coefficients via discrete N-fold Darboux transformation

被引：15
|
作者：
Song, Jiang-Yan [1 ]
Hao, Hui-Qin [1 ]
Zhang, Xiao-Mei [1 ]
机构：
[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Shanxi, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2018年 / 78卷
基金：
山西省青年科学基金; 中国国家自然科学基金;
关键词：
A discrete generalized nonlinear; Schrodinger equation with variable coefficients; Discrete N-fold Darboux transformation; Discrete soliton; Vandermonde-like determinants; ROGUE WAVES; LATTICE; DYNAMICS;
D O I：
10.1016/j.aml.2017.11.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under investigations in this paper is a discrete generalized nonlinear Schrodinger equation with variable coefficients. Through symbolic computation the discrete spectral problems are analyzed, the discrete N-fold Darboux transformation (DT) is constructed, discrete one and two-soliton solutions in the form of Vandermonde-like determinants are derived and some dynamic behaviors of those solitons are discussed graphically. (C) 2017 Elsevier Ltd. All rights reserved.
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页码：126 / 132
页数：7
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